CMAT 2017 Solved Question Paper

(c) We know that , for an equation $\mathit{a}{\mathit{x}}^2+\mathit{b}\mathit{x}+\mathit{c}=0$S
sum of roots = $-\frac{\mathit{b}}{\mathit{a}}$
⇒ +5 -1 = $-\frac{\mathit{b}}{\mathit{a}}$
⇒ 4 = $-\frac{\mathit{b}}{\mathit{a}}$
⇒ $\frac{\mathit{b}}{\mathit{a}}$= - 4
and product of the roots = $\frac{\mathit{c}}{\mathit{a}}$
⇒ 5 × (- 1)= $\frac{\mathit{c}}{\mathit{a}}$
⇒ -5 = $\frac{\mathit{c}}{\mathit{a}}$
⇒ $\frac{\mathit{c}}{\mathit{a}}$= -5
Now, the required equation is ax2 + bx + c = 0
Divide whole equation by a
⇒$\frac{\mathit{a}{\mathit{x}}^2}{\mathit{a}}+\frac{\mathit{b}\mathit{x}}{\mathit{a}}+\frac{\mathit{c}}{\mathit{a}}=0$
⇒ ${\mathit{x}}^2-4\mathit{x}+\left(-5\right)=0$
⇒ ${\mathit{x}}^2-4\mathit{x}+-5=0$